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Look at professional resellers. These range from manufacturer outlets (for example Dell Outlet is where Dell directly sell refurbs) to store resellers. Both physical stores (e.g. Currys) and online retailers (e.g. Laptops Direct) offer dedicated refurbished laptops. You may even have a local computer shop that sells refurbished laptops, although that'll obviously give you far fewer options.
Look at random sellers on eBay, Amazon, etc. This naturally comes with increased risk. Is the person doing the refurb competent? Will you have any comeback if things go wrong? Probably not outside general eBay protections. What does their grading mean? What sort of condition is the refurb? And so on. You also have to do more work, since at a bare minimum you should be reinstalling the OS. Who knows if the eBay seller put some dodgy software on.